On the Hagedorn Behaviour of Singular Scale-Invariant Plane Waves

Details On the Hagedorn Behaviour of Singular Scale-Invariant Plane Waves On the Hagedorn Behaviour of Singular Scale-Invariant Plane Waves

2004-12-20

arxiv.org/abs/hep-th/0412228v2

JHEP 0510 (2005) 047

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, LaTeX2e, v2: JHEP3.cls, one reference added

Scientific paper

10.1088/1126-6708/2005/10/047

As a step towards understanding the properties of string theory in time-dependent and singular spacetimes, we study the divergence of density operators for string ensembles in singular scale-invariant plane waves, i.e. those plane waves that arise as the Penrose limits of generic power-law spacetime singularities. We show that the scale invariance implies that the Hagedorn behaviour of bosonic and supersymmetric strings in these backgrounds, even with the inclusion of RR or NS fields, is the same as that of strings in flat space. This is in marked contrast to the behaviour of strings in the BFHP plane wave which exhibit quantitatively and qualitatively different thermodynamic properties.

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